Explore 4: The Effects of Transformation (Part 2)

Transformation

The Effect of Transformation (Part 2)

Multiple Choice

Bell Ringer (8.5G)

Which set of ordered pairs represents y as a function of x?

• (0 ,0) (-1 , 2) (-1 , -2) (-2 , 4)

  (-2 , -4)

• (0 , 0) (1 , 1) (2 , 4) (3 , 9) (3 , 16)

• (0 , 0) (0 , 1) (0 , 2) (0 , -1) (0 , -2)

• (0 , 0) (-1 , -0.5) (-2 , -1) (-3 , -1.5) (-4 , -2)

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​​The Effects of Transformation

​​Students will explain the effect of translations, reflections over the x- and y- axis, rotations limited to 90⁰, 180⁰, and 270⁰, and 360⁰ as applied to two-dimensional shapes on a coordinate plane using algebraic representation.

​​Given a two figures, students will explain the effect of the given transformation by using an algebraic representation with 100% accuracy.

​​Transformation (Transformación) , Rotation (rotación) , Reflection (reflexión) , Translation (traslación) , Ordered Pair (par ordenado)

​​What happens to the x and y values when the figure is rotated 90° clockwise around the origin?

Match

Label each side of the rectangle with ABCD. Then use patty paper to located each corresponding side on the transformed image. Match the original coordinates with the new coordinates.

• A: (2,4)

• B: (2,8)

• C: (8,4)

• D: (8,8)

(4,-2)

(8,-2)

(4,-8)

(8, -8)

• (4,-2)

• (8,-2)

• (4,-8)

• (8, -8)

Multiple Choice

Now use the new coordinates to help you determine the transformation rule that applied.

• (x , y) --> (y , -x)

• (x , y) --> (-y , x)

• (x , y) --> (-x , -y)

• (x ,y) --> (x , y)

Multiple Choice

Name the type of transformation that occurred.

• Rotation 90⁰ clockwise

• Rotation 180⁰ clockwise

• Rotation 270⁰ clockwise

Match

Rectangle ABCD was translated 4 units up and 2 units right. Match the original coordinates to the new coordinates after the transformation was applied.

• A: (-8 , 12)

• B: (-16 , 12)

• C: (-8 , 4)

• D: (-16 , 4)

(-6 , 16)

(-14 , 16)

(-6 , 8)

(-14 , 8)

• (-6 , 16)

• (-14 , 16)

• (-6 , 8)

• (-14 , 8)

Draw

Now plot the new coordinates to show the new figure.

Multiple Choice

Now use the new coordinates to help you determine the transformation rule that applied.

• (x , y) --> (x+2 , y+4)

• (x , y) --> (x+4 , y+2)

• (x , y) --> (x-2 , y-4)

• (x ,y) --> (x-4 , y-2)

Match

Label each side of the rectangle with ABCD. Then use patty paper to located each corresponding side on the transformed image. Match the original coordinates with the new coordinates.

• A: (-16 , 0)

• B: (-16 , -16)

• C: (-6 , -16)

(16 , 0)

(16 , -16)

(6 , -16)

• (16 , 0)

• (16 , -16)

• (6 , -16)

Multiple Choice

Now use the new coordinates to help you determine the transformation rule that applied.

• (x , y) --> (x , -y)

• (x , y) --> (-x , y)

Multiple Choice

Name the type of transformation that occurred.

• Reflection across the x-axis

• Reflection across the y-axis

Multiple Choice

(8.10C) STAAR Released Question:

Square ABCD is translated 3 units to the right on a coordinate grid to create square A'B'C'D'. Which rule describes this translation?

• (x , y) --> (x , y-3)

• (x , y) --> (x , y+3)

• (x , y) --> (x+3 , y)

• (x , y) --> (x-3 , y)

Exit Ticket: Transform It!

Complete the exit ticket then turn it in at the end of class.